6(x+1)+3x=2(x+1)-1

Solution for 6(x+1)+3x=2(x+1)-1 equation:

Simplifying
6(x + 1) + 3x = 2(x + 1) + -1

Reorder the terms:
6(1 + x) + 3x = 2(x + 1) + -1
(1 * 6 + x * 6) + 3x = 2(x + 1) + -1
(6 + 6x) + 3x = 2(x + 1) + -1

Combine like terms: 6x + 3x = 9x
6 + 9x = 2(x + 1) + -1

Reorder the terms:
6 + 9x = 2(1 + x) + -1
6 + 9x = (1 * 2 + x * 2) + -1
6 + 9x = (2 + 2x) + -1

Reorder the terms:
6 + 9x = 2 + -1 + 2x

Combine like terms: 2 + -1 = 1
6 + 9x = 1 + 2x

Solving
6 + 9x = 1 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
6 + 9x + -2x = 1 + 2x + -2x

Combine like terms: 9x + -2x = 7x
6 + 7x = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 7x = 1 + 0
6 + 7x = 1

Add '-6' to each side of the equation.
6 + -6 + 7x = 1 + -6

Combine like terms: 6 + -6 = 0
0 + 7x = 1 + -6
7x = 1 + -6

Combine like terms: 1 + -6 = -5
7x = -5

Divide each side by '7'.
x = -0.7142857143

Simplifying
x = -0.7142857143